Existence result for semilinear elliptic systems involving critical exponents

DOI10.1186/1687-2770-2012-119zbMath1280.35042OpenAlexW2119273358WikidataQ59272660 ScholiaQ59272660MaRDI QIDQ384448

Mohammad Hasan, H. S. Yoon

Publication date: 27 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-119

zbMATH Keywords

critical exponentnontrivial solutionvariational methodsemilinear elliptic system

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)

Cites Work

• Multiple positive solutions for semilinear elliptic equations involving multi-singular inverse square potentials and concave-convex nonlinearities
• Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents
• On the singular elliptic systems involving multiple critical Sobolev exponents
• Some remarks on systems of elliptic equations doubly critical in the whole \(\mathbb R^N\)
• On a singular elliptic system at resonance
• On the weighted elliptic problems involving multi-singular potentials and multi-critical exponents
• Dual variational methods in critical point theory and applications
• Solutions to critical elliptic equations with multi-singular inverse square potentials

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